In the diagram below, BC = QR= , AC = PR = y, and triangle PQR is a right triangle. Use the drop-down menus to complete the proof that if the equation
22 + y2 = 22 is true of the side lengths in triangle ABC, then triangle ABC must be a right
triangle.

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem